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4124208 = 2431173107
BaseRepresentation
bin1111101110111000110000
321202112100110
433232320300
52023433313
6224221320
750024634
oct17567060
97675313
104124208
112367640
12146a840
13b1527a
14794dc4
15566ec3
hex3eee30

4124208 has 80 divisors (see below), whose sum is σ = 11892096. Its totient is φ = 1221120.

The previous prime is 4124207. The next prime is 4124213. The reversal of 4124208 is 8024214.

It is not an unprimeable number, because it can be changed into a prime (4124207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38491 + ... + 38597.

Almost surely, 24124208 is an apocalyptic number.

4124208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946048).

4124208 is an abundant number, since it is smaller than the sum of its proper divisors (7767888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4124208 is a wasteful number, since it uses less digits than its factorization.

4124208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4124208 is about 2030.8146148775. The cubic root of 4124208 is about 160.3664517330.

The spelling of 4124208 in words is "four million, one hundred twenty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 107 132 146 176 214 219 264 292 321 428 438 528 584 642 803 856 876 1168 1177 1284 1606 1712 1752 2354 2409 2568 3212 3504 3531 4708 4818 5136 6424 7062 7811 9416 9636 12848 14124 15622 18832 19272 23433 28248 31244 38544 46866 56496 62488 85921 93732 124976 171842 187464 257763 343684 374928 515526 687368 1031052 1374736 2062104 4124208